非线性弹性杆波动方程的摄动分析

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基金项目: 国家自然科学基金资助项目(10247008)

Perturbation Analysis for Wave Equation of A Nonlinear Elastic Rod

College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, P. R. China

摘要: 针对计入横向惯性效应后的非线性弹性杆纵向波动方程进行了分析．在小振幅、长波长的一般情况下，根据远方场简单波理论，采用约化摄动法，得到了NLS方程，并讨论了存在NLS孤子的条件．
- 非线性弹性杆 /
- 远方场 /
- NLS方程
Abstract: The longitudinal oscillation of a nonlinear elastic rod with lateral inertia were studied. Based on the far field and simple wave theory, a nonlinear Schr^L dinger (NLS) equation was established under the assumption of small amplitude and long wavelength. It is found that there are NLS envelope solitons in this system. Finally the soliton solution of the NLS equation is presented.
- nonlinear elastic rod /
- far field /
- NLS equation

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